Existence and Multiplicity of Solutions for Some Fractional Boundary Value Problem via Critical Point Theory
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-18
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
We study the existence and multiplicity of solutions for the following fractional boundary value problem: (d/dt)((1/2)0Dt-β(u'(t))+(1/2)tDT-β(u'(t)))+∇F(t,u(t))=0, a.e. t∈[0,T], u(0)=u(T)=0, where F(t,⋅) are superquadratic, asymptotically quadratic, and subquadratic, respectively.
Several examples are presented to illustrate our results.
American Psychological Association (APA)
Chen, Jing& Tang, XianHua. 2012. Existence and Multiplicity of Solutions for Some Fractional Boundary Value Problem via Critical Point Theory. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-488052
Modern Language Association (MLA)
Chen, Jing& Tang, XianHua. Existence and Multiplicity of Solutions for Some Fractional Boundary Value Problem via Critical Point Theory. Abstract and Applied Analysis No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-488052
American Medical Association (AMA)
Chen, Jing& Tang, XianHua. Existence and Multiplicity of Solutions for Some Fractional Boundary Value Problem via Critical Point Theory. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-488052
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488052
